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Finding the Fourth Proportional to 1,599.90, 2,399.31 and 559.68

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Solution

The fourth proportional to 1,599.90, 2,399.31 and 559.68 is: 839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.90 : 2,399.31 = 559.68 : x
  2. Step 2: Convert to fraction form
    1,599.90/2,399.31 = 559.68/x
  3. Step 3: Cross multiply
    1,599.90x = 2,399.31 × 559.68
  4. Step 4: Simplify right side
    1,599.90x = 1,342,845.82
  5. Step 5: Solve for x
    x = 1,342,845.82/1,599.90
  6. Step 6: Final answer
    x = 839.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.